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Lecture Notes

Below are the lecture notes from my course on multivariable calculus, as well as some handouts I give to students for some of the experiments in the introductory physics lab courses. Note that I update my notes each term, but this website may not link to the latest editions.

Notes on MTH3015: Calculus III

Visualizing 3D Curves with WolframAlpha

Week 1: Introduction to 2D and 3D co-ordinate spaces; introduction to vector, vector spaces, vector operations

Week 2: Parametrization

Week 3: Vector-valued Functions; Curves

Week 4: Functions of Several Variables; Limits and Continuity

Week 5: Partial Derivatives; The Chain Rule

Week 7: Directional Derivative and Gradient

Week 8: Taylor Series and Extrema

Week 9: Double Integrals; Polar Integrals

Week 10: Triple Integrals; Cylindrical and Spherical Co-ordinates

Week 11: The Transformation Theorem

Notes on IPL/CPS Physics Labs

Lab Report Grading Structure

Experiment 9: Maxwell's Wheel

Experiment 12: The Simple Pendulum

Experiment 13: Simple Harmonic Motion

Experiment 14: Standing Waves

Experiment 16: Electric Field and Electric Potential